Question

The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x1 + 0.85x2 days, where x1 is the distance to travel and x2 is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 224 miles away and weighs 2.2 pounds.

Answer 1

It will take approximately 7 days to receive a package that is 224 miles away and weighs 2.2 pounds.

Explanation:

Given :
`\widehat{y} =0.5 + 0.02x_1 + 0.85x_2`

To Find : Use this equation to predict the how long it will take to receive a package that is 224 miles away and weighs 2.2 pounds.

Solution:

`\widehat{y} =0.5 + 0.02x_1 + 0.85x_2`

y denotes time

`x_1` denotes distance to travel

`x_2` denotes weight of package

Now
`x_1 =224`

`x_2=2.2`

Substitute the values in the equation

`\widehat{y} =0.5 + 0.02(224) + 0.85(2.2)`

`\widehat{y} =6.85`

So, Time = 6.85 days

Hence it will take approximately 7 days to receive a package that is 224 miles away and weighs 2.2 pounds.